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1 parent c7de6b5 commit 808f6e8Copy full SHA for 808f6e8
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Mathlib/RingTheory/Coalgebra/Primitive.lean
@@ -97,8 +97,8 @@ def skewPrimitive : Submodule R A where
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variable [IsCancelAdd A]
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-/-- When `g` and `h` have counit `1` (e.g. when they are group-like), the counit condition in
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-`IsSkewPrimitiveElem` follows from the comultiplication condition. -/
+/-- When `g` and `h` have counit `1` (e.g. when they are group-like), the counit condition
+follows from the comultiplication condition. -/
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lemma counit_eq_zero_of_comul_eq_tmul_add_tmul (hg : counit (R := R) g = 1)
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(hh : counit (R := R) h = 1) (ha : comul a = g ⊗ₜ[R] a + a ⊗ₜ[R] h) :
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counit (R := R) a = 0 := by
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